Buchsbaumness of ordinary powers of two-dimensional square-free monomial ideals

DOI10.1016/j.jalgebra.2010.07.027zbMath1220.13015OpenAlexW1973082700MaRDI QIDQ536023

Nguyên Công Minh, Yukio Nakamura

Publication date: 16 May 2011

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2010.07.027

zbMATH Keywords

monomial idealsymbolic powerclaw-freeBuchsbaum ideal

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Ideals and multiplicative ideal theory in commutative rings (13A15) Combinatorial aspects of simplicial complexes (05E45)

Related Items (6)

Buchsbaumness of the second powers of edge ideals ⋮ Combinatorial characterizations of the Cohen-Macaulayness of the second power of edge ideals ⋮ Licci squarefree monomial ideals generated in degree two or with deviation two ⋮ Cohen-Macaulayness of large powers of Stanley-Reisner ideals ⋮ On the k-Buchsbaum property of powers of Stanley–Reisner ideals ⋮ Geometric regularity of powers of two-dimensional squarefree monomial ideals

Cites Work

• Cohen-Macaulayness of powers of two-dimensional squarefree monomial ideals
• Characterizations of Buchsbaum complexes
• On the number of faces of simplicial complexes and the purity of Frobenius
• Locally complete intersection Stanley-Reisner ideals
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